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Finding the Fourth Proportional to 12,314.42, 16,989.66 and 6,936.02

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Solution

The fourth proportional to 12,314.42, 16,989.66 and 6,936.02 is: 9,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.42 : 16,989.66 = 6,936.02 : x
  2. Step 2: Convert to fraction form
    12,314.42/16,989.66 = 6,936.02/x
  3. Step 3: Cross multiply
    12,314.42x = 16,989.66 × 6,936.02
  4. Step 4: Simplify right side
    12,314.42x = 117,840,621.55
  5. Step 5: Solve for x
    x = 117,840,621.55/12,314.42
  6. Step 6: Final answer
    x = 9,569.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.